Question

Relationship B has a lesser rate than Relationship A. The graph represents Relationship A.

Which table could represent Relationship B?


A.
Time (weeks) 3 6 8 10
Plant growth (in.) 2.25 4.5 6 7.5

B.
Time (weeks) 3 6 8 10
Plant growth (in.) 4.8 9.6 12.8 16


C.
Time (weeks) 3 4 6 9
Plant growth (in.) 5.4 7.2 10.8 16.2


D.
Time (weeks) 3 4 6 9
Plant growth (in.) 6.3 8.4 12.6 18.9



C.
Time (weeks) 3 4 6 9
Plant growth (in.) 5.4 7.2 10.8 16.2


D.
Time (weeks) 3 4 6 9
Plant growth (in.) 6.3 8.4 12.6 18.9

Answer 1

heres the link for the graph

Answer 2

http://static.k12.com/calms_media/media/1503000_1503500/1503258/2/39380c2051fccf9c9e144b9d0b9960ed462f6218/MS_IMC-140523-131004.jpg

Answer 3

i will give out medals and fan you if you would help me

Answer 4

fission-mailed please come help me

Answer 5

@iGreen please help me

Answer 6

ok lets see

Answer 7

Sorry, I logged out yesterday and I'm seeing this for the first time now. If you still need help:

Relationship B has a lesser rate (this means smaller slope) than Relationship A. The graph represents A, and if you use the two points in the graph you attached with the slope formula, \[m = \frac{Y_2-Y_1}{X_2-X_1}\]
(the points being (2,3) and (5,6))
You will get:

\[m=\frac{6-3}{4-2}\]\[m=\frac{3}{2}\]

So the slope (rate) of A is 3/2, or 1.5 as a decimal. So now you know that B has to have a smaller slope than 1.5. All that's left to do from here is calculate the slopes for each of the tables, and stop once you find one that is less than 1.5. The final answer will be table "a", since its slope is less than 1.5.
Example: I used (3,2.25) and (10,7.5) from table "a" with the slope formula to get a slope of 0.75. Since 0.75 is less than 1.5, the answer is A.

Answer 8

Whoops, small typo above. Should read... "the points being (2,3) and (4,6)". The answer is still the same.